id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
hep-th/9212094 | Dilogarithm identities, q-difference equations and the Virasoro algebra | We give a new proof of the dilogarithm identities, associated to the (2,2n+1)
minimal models of the Virasoro algebra. | 1992-12-16 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Edward Frenkel and Andras Szenes |
hep-th/9212102 | Renormalization of Crumpled Manifolds | We consider a model of D-dimensional tethered manifold interacting by
excluded volume in R^d with a single point. By use of intrinsic distance
geometry, we first provide a rigorous definition of the analytic continuation
of its perturbative expansion for arbitrary D, 0 < D < 2. We then construct
explicitly a renormaliz... | 1992-12-16 | 2007-05-23 | [
"hep-th",
"cond-mat"
] | F. David, B. Duplantier and E. Guitter |
hep-th/9212095 | Arbitrary Spacetimes from the SL(2,R)/U(1) Coset Model | We show that the gauged SL(2,R) WZWN model yields arbitrary spacetimes in two
dimensions. The c = 1 matter field and the black hole singularity are just two
particular cases in these spacetimes. | 1992-12-16 | 2015-06-26 | [
"hep-th",
"gr-qc"
] | N. Mohammedi |
hep-th/9212099 | The Tachyon in a Linear Expanding Universe | We investigate the tachyon coupling in a static Robertson--Walker like metric
background. For a tachyon and dilaton field which are only time dependent one
can rewrite this model as a SU(2) Wess--Zumino--Witten model and a scalar
Feigin--Fuchs theory. In this case the restriction to a real exponential
tachyon field fix... | 1992-12-16 | 2009-10-22 | [
"hep-th"
] | K. Behrndt |
hep-th/9212097 | A Finite-Temperature Periodic Structure in (SUPER)STRING Theory | Using a Laurent series representation for the (super)string one-loop free
energy, an explicit form for the analytic continuation of the Laurent series
beyond the critical (Hagedorn) temperature is obtained. As an additional
result, a periodic structure is found in (super)string thermodynamics. A brief
physical discussi... | 1992-12-16 | 2009-09-17 | [
"hep-th"
] | A.A. Bytsenko, E. Elizalde, S.D. Odintsov and S. Zerbini |
hep-th/9212098 | The Polyakov action on the supertorus | A consistent method for obtaining a well-defined Polyakov action on the
supertorus is presented. This method uses the covariantization of derivative
operators and enables us to construct a Polyakov action which is globally
defined. | 1992-12-16 | 2010-04-06 | [
"hep-th"
] | Jean-Pierre Ader and Hamid Kachkachi |
hep-th/9212100 | New Topological Theories and Conjugacy Classes of the Weyl Group | The problem of interpreting a set of ${\cal W}$-algebra constraints
constructed in terms of an arbitrarily twisted scalar field as the recursion
relations of a topological theory is addressed. In this picture, the
conventional models of topological gravity coupled to $A$, $D$ or $E$
topological matter, correspond to ta... | 1992-12-16 | 2009-10-22 | [
"hep-th"
] | Timothy J. Hollowood and J. Luis Miramontes |
hep-th/9212096 | Spectral Zeta Functions for Spherical Aharonov-Bohm Quantum Bags | We study the sum $\ds\zeta_H(s)=\sum_j E_j^{-s}$ over the eigenvalues $E_j$
of the Schrdinger equation in a spherical domain with Dirichlet walls, threaded
by a line of magnetic flux. Rather than using Green's function techniques, we
tackle the mathematically nontrivial problem of finding exact sum rules for the
zeros ... | 1992-12-16 | 2007-05-23 | [
"hep-th"
] | E. Elizalde, S. Leseduarte and A. Romeo |
hep-th/9212089 | A Comment on Duality Transformations and (Discrete) Gauge Symmetries in
Four-Dimensional Strings | We discuss the relationship between target space modular invariance and
discrete gauge symmetries in four-dimensional orbifold-like strings. First we
derive the modular transformation properties of various string vertex operators
of the massless string fields. Then we find that for supersymmetric
compactifications the ... | 1992-12-15 | 2009-10-07 | [
"hep-th"
] | L. Ibanez and D.Luest |
hep-th/9212091 | Comment on "Attractive Forces between Electrons in 2 + 1 Dimensional
QED" | It is shown that a model recently proposed for numerical calculations of
bound states in QED$_3$ is in fact an improper truncation of the Aharonov-Bohm
potential. | 1992-12-15 | 2016-09-06 | [
"hep-th"
] | C. R. Hagen |
hep-th/9212093 | Differential Calculus on Quantum Spaces and Quantum Groups | A review of recent developments in the quantum differential calculus. The
quantum group $GL_q(n)$ is treated by considering it as a particular quantum
space. Functions on $SL_q(n)$ are defined as a subclass of functions on
$GL_q(n)$. The case of $SO_q(n)$ is also briefly considered. These notes cover
part of a lecture ... | 1992-12-15 | 2007-05-23 | [
"hep-th"
] | Bruno Zumino |
hep-th/9212092 | Self duality and supersymmetry | Chiral/self-dual restrictions of various super Yang-Mills and supergravity
theories in (2,2) dimensions are described. These include the N=1 supergravity
with a cosmological term and the N=1 new minimal supergravity theory. In the
latter case, a self-duality condition on a torsionful Riemann curvature is
possible, and ... | 1992-12-15 | 2007-05-23 | [
"hep-th"
] | E. Sezgin |
hep-th/9212090 | Large-N quantum gauge theories in two dimensions | The partition function of a two-dimensional quantum gauge theory in the
large-$N$ limit is expressed as the functional integral over some scalar field.
The large-$N$ saddle point equation is presented and solved. The free energy is
calculated as the function of the area and of the Euler characteristic. There
is no non-... | 1992-12-15 | 2009-10-22 | [
"hep-th",
"hep-lat"
] | B.Rusakov |
hep-th/9212084 | Fusion algebra and Verlinde's formula | We show that the coefficients of decomposition into an irreducible components
of the tensor powers of level $r$ symmetric algebra of adjoint representation
coincide with the Verlinder numbers. Also we construct (for $sl(2)) the
representations of a general linear group those dimensions are given by
corresponding Verlin... | 1992-12-14 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Anatol N. Kirillov |
hep-th/9212088 | Random matrix theory and spectral sum rules for the Dirac operator in
QCD | We construct a random matrix model that, in the large $N$ limit, reduces to
the low energy limit of the QCD partition function put forward by Leutwyler and
Smilga. This equivalence holds for an arbitrary number of flavors and any value
of the QCD vacuum angle. In this model, moments of the inverse squares of the
eigenv... | 1992-12-14 | 2016-09-06 | [
"hep-th",
"hep-lat"
] | E.V. Shuryak and J.J.M. Verbaarschot |
hep-th/9212086 | Hirota's Solitons in the Affine and the Conformal Affine Toda Models | We use Hirota's method formulated as a recursive scheme to construct complete
set of soliton solutions for the affine Toda field theory based on an arbitrary
Lie algebra. Our solutions include a new class of solitons connected with two
different type of degeneracies encountered in the Hirota's perturbation
approach. We... | 1992-12-14 | 2009-10-22 | [
"hep-th"
] | H.Aratyn, C.P. Constantinidis, L.A. Ferreira, J.F. Gomes and A.H.
Zimerman |
hep-th/9212085 | The Influence of World-Sheet Boundaries on Critical Closed String Theory | This paper considers interactions between closed strings and open strings
satisfying either Neumann or constant (point-like) Dirichlet boundary
conditions in a BRST formalism in the critical dimension. With Neumann
conditions this reproduces the well-known stringy version of the Higgs
mechanism. With Dirichlet conditio... | 1992-12-14 | 2009-10-22 | [
"hep-th"
] | Michael B. Green |
hep-th/9212087 | Partitions, Vertex Operator Constructions and Multi-component KP
equations | For every partition of a positive integer $n$ in $k$ parts and every point of
an infinite Grassmannian we obtain a solution of the $k$ component
differential-difference KP hierarchy and a corresponding Baker function. A
partition of $n$ also determines a vertex operator construction of the
fundamental representations o... | 1992-12-14 | 2008-02-03 | [
"hep-th",
"math.QA"
] | M. J. Bergvelt, A. P. E. ten Kroode |
hep-th/9212083 | Phase Transitions out of Equilibrium: domain formation and growth | We study the dynamics of phase transitions out of equilibrium in weakly
coupled scalar field theories. We consider the case in which there is a rapid
supercooling from an initial symmetric phase in thermal equilibrium at
temperature $T_i>T_c$ to a final state at low temperature $T_f \approx 0$. In
particular we study t... | 1992-12-13 | 2019-08-17 | [
"hep-th"
] | D. Boyanovsky, D.-S. Lee and A. Singh |
hep-th/9212082 | Integrable Quantum Mappings and Quantization Aspects of Integrable
Discrete-time Systems | We study a quantum Yang-Baxter structure associated with non-ultralocal
lattice models. We discuss the canonical structure of a class of integrable
quantum mappings, i.e. canonical transformations preserving the basic
commutation relations. As a particular class of solutions we present two
examples of quantum mappings ... | 1992-12-13 | 2007-05-23 | [
"hep-th"
] | F.W. Nijhoff and H.W. Capel (Clarkson University) |
hep-th/9212079 | Mean Field Approach to the Giant Wormhole Problem | We introduce a gaussian probability density for the space-time distribution
of wormholes, thus taking effectively into account wormhole interaction. Using
a mean-field approximation for the free energy, we show that giant wormholes
are probabilistically suppressed in a homogenous isotropic ``large'' universe. | 1992-12-12 | 2015-06-26 | [
"hep-th"
] | A. Gamba, I. Kolokolov and M. Martellini |
hep-th/9212081 | Multi-Field Coset Space Realizations of $w_{1+\infty}$ | We extend the coset space formulation of the one-field realization of
$w_{1+\infty}$ to include more fields as the coset parameters. This can be done
either by choosing a smaller stability subalgebra in the nonlinear realization
of $w_{1+\infty}$ symmetry, or by considering a nonlinear realization of some
extended symm... | 1992-12-12 | 2010-04-06 | [
"hep-th"
] | Stefano Bellucci, Evgenyi Ivanov and Sergey Krivonos |
hep-th/9212080 | A Continuum Approach to 2D-Quantum Gravity for C>1 | A Lagrangian continuum model for a string theory with central charge $c>1$ is
formulated by incorporating Weyl and diffeomorphism gauge fixing. In particular
the tachyon scattering amplitudes are deduced generalizing the standard $c\le
1$ computation. | 1992-12-12 | 2007-05-23 | [
"hep-th"
] | M. Martellini, M. Spreafico and K. Yoshida |
hep-th/9212078 | Closed time like curve and the energy condition in 2+1 dimensional
gravity | We consider gravity in 2+1 dimensions in presence of extended stationary
sources with rotational symmetry. We prove by direct use of Einstein's
equations that if i) the energy momentum tensor satisfies the weak energy
condition, ii) the universe is open (conical at space infinity), iii) there are
no CTC at space infini... | 1992-12-12 | 2009-10-22 | [
"hep-th"
] | P. Menotti and D. Seminara |
hep-th/9212077 | Maxwell-Chern-Simons Casimir Effect | In odd-dimensional spaces, gauge invariance permits a Chern-Simons mass term
for the gauge fields in addition to the usual Maxwell-Yang-Mills kinetic energy
term. We study the Casimir effect in such a (2+1)-dimensional Abelian theory.
For the case of parallel conducting lines the result is the same as for a
scalar fiel... | 1992-12-11 | 2007-05-23 | [
"hep-th"
] | Kimball A. Milton (Department of Physics and Astronomy, University of
Oklahoma, Norman, OK 73019-0225, USA) |
hep-th/9212076 | Separation of variables in the quantum integrable models related to the
Yangian Y[sl(3)] | There being no precise definition of the quantum integrability, the
separability of variables can serve as its practical substitute. For any
quantum integrable model generated by the Yangian Y[sl(3)] the canonical
coordinates and the conjugated operators are constructed which satisfy the
``quantum characteristic equati... | 1992-12-11 | 2015-11-12 | [
"hep-th",
"nlin.SI",
"solv-int"
] | E. K. Sklyanin |
hep-th/9212074 | The Kazakov-Migdal Model as a High Temperature Lattice Gauge Theory | We show that the Kazakov-Migdal (K-M) induced gauge model in $d$ dimensions
describes the high temperature limit of ordinary lattice gauge theories in
$d+1$ dimensions. The matter fields are related to the Polyakov loops, while
the spatial gauge variables become the gauge fields of the K-M model. This
interpretation of... | 1992-12-11 | 2009-10-22 | [
"hep-th",
"hep-lat"
] | M. Caselle, A. D'Adda and S. Panzeri |
hep-th/9212072 | On Some Algebraic Structures Arising in String Theory | Lian and Zuckerman proved that the homology of a topological chiral algebra
can be equipped with the structure of a BV-algebra; \ie one can introduce a
multiplication, an odd bracket, and an odd operator $\Delta$ having the same
properties as the corresponding operations in Batalin-Vilkovisky quantization
procedure. We... | 1992-12-11 | 2008-02-03 | [
"hep-th"
] | Michael Penkava and Albert Schwarz |
hep-th/9212073 | The 3d Ising Model represented as Random Surfaces | We consider a random surface representation of the three-dimensional Ising
model.The model exhibit scaling behaviour and a new critical index $\k$ which
relates $\g_{string}$ for the bosonic string to the exponent $\a$ of the
specific heat of the 3d Ising model is introduced. We try to determine $\k$ by
numerical simul... | 1992-12-11 | 2007-05-23 | [
"hep-th"
] | J. Ambjorn, A Sedrakyan and G. Thorleifsson |
hep-th/9212075 | Exactly Marginal Operators and Running Coupling Constants in 2D Gravity | The Liouville action for two--dimensional quantum gravity coupled to
interacting matter contains terms that have not been considered previously.
They are crucial for understanding the renormalization group flow and can be
observed in recent matrix model results for the phase diagram of the
Sine--Gordon model coupled to... | 1992-12-11 | 2009-10-22 | [
"hep-th"
] | Christof Schmidhuber (Caltech) |
hep-th/9212071 | An Integration Formula for the Moment Maps of Circle Actions | The integration of the exponential of the square of the moment map of the
circle action is studied by a direct stationary phase computation and by
applying the Duistermaat-Heckman formula. Both methods yield two distinct
formulas expressing the integral in terms of contributions from the critical
set of the square of t... | 1992-12-11 | 2016-09-06 | [
"hep-th"
] | Siye Wu |
hep-th/9212050 | Star-Triangle Relation for a Three Dimensional Model | The solvable $sl(n)$-chiral Potts model can be interpreted as a
three-dimensional lattice model with local interactions. To within a minor
modification of the boundary conditions it is an Ising type model on the body
centered cubic lattice with two- and three-spin interactions. The corresponding
local Boltzmann weights... | 1992-12-10 | 2011-02-11 | [
"hep-th"
] | V.V.Bazhanov and R.J.Baxter |
hep-th/9212062 | Notes on N=2 $\sigma$-models$ | These lectures, given at the 1992 Trieste Spring School, are devoted to some
selected topics in N=2 \sm s on Calabi-Yau manifolds and the associated N=2
superconformal field theories. The first lecture is devoted to the ``special
geometry" of the moduli space of $c=9$ N=2 superconformal field theories. An
important rol... | 1992-12-10 | 2007-05-23 | [
"hep-th"
] | J. Distler |
hep-th/9212070 | Multi-matrix models without continuum limit | We derive the discrete linear systems associated to multi--matrix models, the
corresponding discrete hierarchies and the appropriate coupling conditions. We
also obtain the $W_{1+\infty}$ constraints on the partition function. We then
apply to multi--matrix models the technique, developed in previous papers, of
extract... | 1992-12-10 | 2015-06-26 | [
"hep-th"
] | L.Bonora and C.S.Xiong |
hep-th/9212063 | A path-integral approach to polynomial invariants of links | A brief review of a self-contained genuinely three-dimensional
monodromy-matrix based non-perturbative covariant path-integral approach to
{\it polynomial invariants} of knots and links in the framework of
(topological) quantum Chern-Simons field theory is given. An idea of
``physical'' observables represented by an au... | 1992-12-10 | 2009-10-22 | [
"hep-th"
] | B. Broda |
hep-th/9212067 | Composition of Kinetic Momenta: The U_q(sl(2)) case | The tensor products of (restricted and unrestricted) finite dimensional
irreducible representations of $\uq$ are considered for $q$ a root of unity.
They are decomposed into direct sums of irreducible and/or indecomposable
representations. | 1992-12-10 | 2009-10-22 | [
"hep-th"
] | Daniel Arnaudon |
hep-th/9212069 | Stabilised Matrix Models for Non-Perturbative Two Dimensional Quantum
Gravity | A thorough analysis of stochastically stabilised hermitian one matrix models
for two dimensional quantum gravity at all its $(2,2k-1)$ multicritical points
is made. It is stressed that only the zero fermion sector of the supersymmetric
hamiltonian, i.e., the forward Fokker-Planck hamiltonian, is relevant for the
analys... | 1992-12-10 | 2009-10-22 | [
"hep-th"
] | Joshua Feinberg |
hep-th/9212066 | Exotic Quantum Double,Its Universal R-matrix And Their Representations | The exotic quantum double and its universal R-matrix for quantum Yang-Baxter
equation are constructed in terms of Drinfeld's quantum double theory.As a new
quasi-triangular Hopf algebra, it is much different from those standard quantum
doubles that are the q-deformations for Lie algebras or Lie superalgebras. By
studyi... | 1992-12-10 | 2009-10-22 | [
"hep-th"
] | Chang-Pu Sun |
hep-th/9212064 | Clebch-Gordan and Racah-Wigner coefficients for $U_q(SU(1,1))$ | The Clebsch-Gordan and Racah-Wigner coefficients for the positive (or
negative) discrete series of irreducible representations for the noncompact
form $U_q(SU(1,1))$ of the algebra $U_q(sl(2))$ are computed. | 1992-12-10 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Nadejda A. Liskova, Anatol N. Kirillov |
hep-th/9212068 | Chern-Simons Theory and the Quark-Gluon Plasma | The generating functional for hard thermal loops in QCD is important in
setting up a resummed perturbation theory, so that all terms of a given order
in the coupling constant can be consistently taken into account. It is also the
functional which leads to a gauge invariant description of Debye screening and
plasma wave... | 1992-12-10 | 2009-10-22 | [
"hep-th",
"hep-ph"
] | Ravit Efraty and V.P.Nair |
hep-th/9212065 | The Quantum Deformed Dirac Equation from the k-Poincare` Algebra | In this letter we derive a deformed Dirac equation invariant under the
k-Poincare` quantum algebra. A peculiar feature is that the square of the
k-Dirac operator is related to the second Casimir (the k-deformed squared
Pauli-Lubanski vector). The ``spinorial'' realization of the k-Poincare` is
obtained by a contraction... | 1992-12-10 | 2009-10-22 | [
"hep-th"
] | Anatol Nowicki, Emanuele Sorace and Marco Tarlini |
hep-th/9212058 | Particle Content in Topological Field Theories | By demanding that the path integral measure of topological field theories be
metric independent, we can derive powerful constraints on the particle content
of a topological field theory as well as on the dimensionality of space-time. | 1992-12-09 | 2015-06-26 | [
"hep-th"
] | A. Toon |
hep-th/9212057 | CPT Violation in String-Modified Quantum Mechanics and the Neutral Kaon
System | We show that $CPT$ is in general violated in a non-quantum-mechanical way in
the effective low-energy theory derived from string theory, as a result of
apparent world-sheet charge non-conservation induced by stringy monopoles
corresponding to target-space black hole configurations. This modification of
quantum mechanic... | 1992-12-09 | 2009-09-11 | [
"hep-th",
"hep-ph"
] | J. Ellis, N.E. Mavromatos, D.V. Nanopoulos |
hep-th/9212059 | Statistical Mechanics of Kinks in (1+1)-Dimensions | We investigate the thermal equilibrium properties of kinks in a classical
$\phi^4$ field theory in $1+1$ dimensions. The distribution function, kink
density, and correlation function are determined from large scale simulations.
A dilute gas description of kinks is shown to be valid below a characteristic
temperature. A... | 1992-12-09 | 2009-10-22 | [
"hep-th"
] | Francis J. Alexander and Salman Habib |
hep-th/9212055 | $Z^N$-graded Lie algebras: Fock representations and reducibility
conditions | Manifestly consistent Fock representations of non-central (but
``core-central'') extensions of the $Z^N$-graded algebras of functions and
vector fields on the $N$-dimensional torus $T^N$ are constructed by a kind of
renormalization procedure. These modules are of lowest-energy type, but the
energy is not a linear funct... | 1992-12-09 | 2007-05-23 | [
"hep-th"
] | T. A. Larsson |
hep-th/9212061 | Some remarks on tachyon action in 2d string theory | We discuss the effective action of tachyon in the two dimensional string
theory at tree level. We show that already starting from the cubic terms the
action is nonlocal and the usually assumed simplest cubic term does not give
the correct amplitude. Four point 1PI terms are also discussed. | 1992-12-09 | 2015-06-26 | [
"hep-th"
] | Miao Li |
hep-th/9212054 | Marginal Flows between Mirror Pairs of Landau-Ginzburg String Vacua:
Thickening Moduli Space via c=0 Theories | A recently introduced method for constructing marginal singular flows between
distinct Landau--Ginzburg theories at fixed central charge is reviewed. The
flows are constructed in an enlarged moduli space obtained by adding theories
with zero central charge. This mechanism is used to construct flows between
mirror pairs... | 1992-12-09 | 2007-05-23 | [
"hep-th"
] | Rolf Schimmrigk |
hep-th/9212056 | On the SO(N) symmetry of the chiral SU(N) Yang--Mills model | The posibility of quantizing the anomalous $SU(N)$ Yang--Mills model
preserving the symmetry under the orthogonal subgroup is indicated. The
corresponding Wess--Zumino action (1-cocycle) possesses the additional $SO(N)$
symmetry and can be expressed in terms of chiral fields taking values in the
homogeneous space $SU(N... | 1992-12-09 | 2009-10-22 | [
"hep-th"
] | S.A.Frolov, A.A.Slavnov and C.Sochichiu |
hep-th/9212060 | The Classification of Affine SU(3) Modular Invariant Partition Functions | A complete classification of the WZNW modular invariant partition functions
is known for very few affine algebras and levels, the most significant being
all levels of SU(2), and level 1 of all simple algebras. In this paper we solve
the classification problem for SU(3) modular invariant partition functions. Our
approac... | 1992-12-09 | 2015-06-26 | [
"hep-th"
] | Terry Gannon |
hep-th/9212049 | Challenges for Superstring Cosmology | We consider whether current notions about superstring theory below the Planck
scale are compatible with cosmology. We find that the anticipated form for the
dilaton interaction creates a serious roadblock for inflation and makes it
unlikely that the universe ever reaches a state with zero cosmological constant
and time... | 1992-12-08 | 2009-09-15 | [
"hep-th",
"astro-ph",
"gr-qc"
] | Ram Brustein and Paul Steinhardt |
hep-th/9212046 | Light-Cone Quantization of the Liouville Model | We present the quantization of the Liouville model defined in light-cone
coordinates in (1,1) signature space. We take advantage of the representation
of the Liouville field by the free field of the Backl\"{u}nd transformation and
adapt the approch by Braaten, Curtright and Thorn.
Quantum operators of the Liouville f... | 1992-12-08 | 2016-08-14 | [
"hep-th"
] | Jadwiga Bie\'nkowska |
hep-th/9212048 | Implications of an arithmetical symmetry of the commutant for modular
invariants | We point out the existence of an arithmetical symmetry for the commutant of
the modular matrices S and T. This symmetry holds for all affine simple Lie
algebras at all levels and implies the equality of certain coefficients in any
modular invariant. Particularizing to SU(3)_k, we classify the modular
invariant partitio... | 1992-12-08 | 2010-11-01 | [
"hep-th"
] | Ph Ruelle, E Thiran and J Weyers |
hep-th/9212052 | Triple Products and Yang-Baxter Equation (II): Orthogonal and Symplectic
Ternary Systems | We generalize the result of the preceeding paper and solve the Yang-Baxter
equation in terms of triple systems called orthogonal and symplectic ternary
systems. In this way, we found several other new solutions. | 1992-12-08 | 2009-10-22 | [
"hep-th"
] | S. Okubo |
hep-th/9212047 | Quantum Deformation of BRST Algebra | We investigate the $q$-deformation of the BRST algebra, the algebra of the
ghost, matter and gauge fields on one spacetime point using the result of the
bicovariant differential calculus. There are two nilpotent operations in the
algebra, the BRST transformation $\brs$ and the derivative $d$. We show that
one can defin... | 1992-12-08 | 2009-10-22 | [
"hep-th"
] | Satoshi Watamura |
hep-th/9212053 | Double Scaling Limit of Scalar Theories on the Lattice | Scalar field theories regularized on a $D$ dimensional lattice are found to
exhibit double scaling for a class of critical behaviors labeled by an integer
$m\geq 2$. The continuum theory reached in the double scaling limit defines a
universality class and is of a massless scalar with only a $m+1$ point
self-interaction... | 1992-12-08 | 2007-05-23 | [
"hep-th",
"hep-lat"
] | B. S. Balakrishna |
hep-th/9212051 | Triple Products and Yang-Baxter Equation (I): Octonionic and
Quaternionic Triple Systems | We can recast the Yang-Baxter equation as a triple product equation. Assuming
the triple product to satisfy some algebraic relations, we can find new
solutions of the Yang-Baxter equation. This program has been completed here for
the simplest triple systems which we call octonionic and quaternionic. The
solutions are o... | 1992-12-08 | 2009-10-22 | [
"hep-th"
] | S. Okubo |
hep-th/9212043 | Batalin-Vilkovisky algebras and two-dimensional topological field
theories | Batalin-Vilkovisky algebras are a new type of algebraic structure on graded
vector spaces, which first arose in the work of Batalin and Vilkovisky on gauge
fixing in quantum field theory. In this article, we show that there is a
natural structure of a Batalin-Vilkovisky algebra on the cohomology of a
topological field ... | 1992-12-07 | 2008-11-26 | [
"hep-th"
] | Ezra Getzler (Department of Mathematics, MIT) |
hep-th/9212042 | Quark Spin and the Theta-Term for the QCD String | We describe a way in which spin of quarks can enter a consistent QCD string
theory. We show that the spin factor of the 4d massless, spin 1/2 fermions is
related to the self-intersection number of a 2d surfaces immersed in the 4d
space. We argue that the latter quantity should appear in a consistent
description of the ... | 1992-12-07 | 2009-10-22 | [
"hep-th"
] | J. Pawelczyk |
hep-th/9212045 | Superstring Threshold Corrections to Yukawa Couplings | A general method of computing string corrections to the K\"ahler metric and
Yukawa couplings is developed at the one-loop level for a general
compactification of the heterotic superstring theory. It also provides a direct
determination of the so-called Green-Schwarz term. The matter metric has an
infrared divergent par... | 1992-12-07 | 2010-11-01 | [
"hep-th",
"hep-ph"
] | I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor |
hep-th/9212044 | Third Quantization and Black Holes | Recent results on the quantum mechanics of black holes indicate that the
spacetime singularity can be avoided if the space of fields is extended in its
domain as well as the vanishing of beta functions required as an equation in
target space. Such an approach seems to inevitably lead to the quantization in
this space t... | 1992-12-07 | 2007-05-23 | [
"hep-th"
] | Michael McGuigan |
hep-th/9212041 | Time-Dependent Dilatonic Domain Walls | Time-dependent domain wall solutions with infinitesimal thickness are
obtained in the theory of a scalar field coupled to gravity with the dilaton,
i.e. the Jordan-Brans-Dicke gravity. The value of the dilaton is determined in
terms of the Brans-Dicke parameter $\omega$. In particular, the solutions exist
for any $\ome... | 1992-12-06 | 2007-05-23 | [
"hep-th",
"gr-qc",
"hep-ph"
] | HoSeong La |
hep-th/9212040 | Free field realization of $q$-deformed primary fields for
$U_q(\widehat{\sl}_2)$ | The $q$-vertex operators of Frenkel and Reshetikhin are studied by means of a
$q$-deformation of the Wakimoto module for the quantum affine algebra
$U_q(\widehat{\sl}_2)$ at an arbitrary level $k\ne 0,-2$. A Fock module version
of the $q$-deformed primary field of spin $j$ is introduced, as well as the
screening operat... | 1992-12-05 | 2008-02-03 | [
"hep-th"
] | A. Matsuo |
hep-th/9212039 | On Free Boson Representations of the Quantum Affine Algebra
$U_q(\widehat{\sl}_2)$ | A boson representation of the quantum affine algebra $U_q(\widehat{\sl}_2)$
is realized based on the Wakimoto construction. We discuss relations with the
other boson representations. | 1992-12-05 | 2007-05-23 | [
"hep-th"
] | Kazuhiro Kimura |
hep-th/9212037 | $U(1)$--Extended Gauge Algebras in $p$-Loop Space | We consider, for $p$ odd, a $p$--brane coupled to a $(p+1)$th rank background
antisymmetric tensor field and to background Yang-Mills (YM) fields {\it via} a
Wess-Zumino term. We obtain the generators of antisymmetric tensor and
Yang-Mills gauge transformations acting on $p$--brane wavefunctionals
(functions on `$p$-lo... | 1992-12-05 | 2009-10-22 | [
"hep-th"
] | E. Bergshoeff, R. Percacci, E. Sezgin, K.S. Stelle and P.K. Townsend |
hep-th/9212038 | Gribov ambiguity and non-trivial vacuum structure of gauge theories on a
cylinder | Using the hamiltonian framework, we analyze the Gribov problem for U(N) and
SU(N) gauge theories on a cylinder (= (1+1) dimensional spacetime with compact
space S^1). The space of gauge orbits is found to be an orbifold. We show by
explicit construction that a proper treatment of the Gribov ambiguity leads to
a highly ... | 1992-12-05 | 2009-10-22 | [
"hep-th"
] | E. Langmann and G. W. Semenoff |
hep-th/9212034 | Do Black Holes Form? | We argue that the collapse of a non-rotating object into a black hole has not
been proved to be dynamically stable. There are unstable modes and one should
explore whether they may be excited. This paper is withdrawn for revisions and
clarification | 1992-12-04 | 2016-09-06 | [
"hep-th"
] | Richard Gass and Louis Witten |
hep-th/9212033 | On the Breakdown of Perturbation Theory | The production of o(1/g^2) particles in a weakly-coupled theory is believed
to be non-perturbatively suppressed. I comment on the prospects of (a)
establishing this rigorously, and (b) estimating the effect to exponential
accuracy semiclassically, by discussing two closely-related problems: the
large-order behaviour of... | 1992-12-04 | 2010-11-01 | [
"hep-th"
] | C. Bachas |
hep-th/9212032 | 3D-Ising Model as a String Theory in Three Dimentional Euclidean Space | A three dimensional string model is analyzed in the strong coupling regime.
The contribution of surfaces with different topology to the partition function
is essential. A set of corresponding models is discovered. Their critical
indices, which depend on two integers (m,n), are calculated analyticaly. The
critical indic... | 1992-12-04 | 2007-05-23 | [
"hep-th",
"hep-lat"
] | A.Sedrakyan |
hep-th/9212030 | Supersymmetric String Waves | We present plane-wave-type solutions of the lowest order superstring
effective action which have unbroken space-time supersymmetries. They describe
dilaton, axion and gauge fields in a stringy generalization of the Brinkmann
metric. Some conspiracy between the metric and the axion field is required. We
show that there ... | 1992-12-04 | 2011-04-20 | [
"hep-th"
] | E. A. Bergshoeff, R. Kallosh and T. Ortin |
hep-th/9212035 | Cosmological Multi-Black Hole Solutions | We present simple, analytic solutions to the Einstein-Maxwell equation, which
describe an arbitrary number of charged black holes in a spacetime with
positive cosmological constant $\Lambda$. In the limit $\Lambda=0$, these
solutions reduce to the well known Majumdar-Papapetrou (MP) solutions. Like the
MP solutions, ea... | 1992-12-04 | 2009-10-22 | [
"hep-th",
"gr-qc"
] | David Kastor and Jennie Traschen |
hep-th/9212036 | D-dimensional Induced Gauge Theory as a Solvable Matrix Model | We discuss basic features and new developments in recently proposed induced
gauge theory solvable in any number of dimensions in the limit of infinite
number of colours. Its geometrical (string) picture is clarified, using planar
graph expansion of the corresponding matrix model. New analytical approach is
proposed for... | 1992-12-04 | 2009-10-22 | [
"hep-th"
] | V.A.Kazakov |
hep-th/9212031 | B\"acklund transformations for nonlinear evolution equations: Hilbert
space approach | A new method of determining B\"acklund transformations for nonlinear partial
differential equations of the evolution type is introduced. Using the Hilbert
space approach the problem of finding B\"acklund transformations is brought
down to the solution of an abstract equation in Hilbert space. | 1992-12-04 | 2009-10-22 | [
"hep-th",
"math.AP"
] | Krzysztof Kowalski |
hep-th/9212020 | Non-Extreme and Ultra-Extreme Domain Walls and Their Global Space-Times | Non-extreme walls (bubbles with two insides) and ultra-extreme walls (bubbles
of false vacuum decay) are discussed. Their respective energy densities are
higher and lower than that of the corresponding extreme (supersymmetric),
planar domain wall. These singularity free space-times exhibit non-trivial
causal structure ... | 1992-12-03 | 2009-09-17 | [
"hep-th",
"gr-qc"
] | Mirjam Cveti\v{c}, Stephen Griffies, and Harald H. Soleng |
hep-th/9212021 | Magnetic Fields and Passive Scalars in Polyakov's Conformal Turbulence | Polyakov has suggested that two dimensional turbulence might be described by
a minimal model of conformal field theory. However, there are many minimal
models satisfying the same physical inputs as Polyakov's solution (p,q)=(2,21).
Dynamical magnetic fields and passive scalars pose different physical
requirements. For ... | 1992-12-03 | 2010-12-17 | [
"hep-th"
] | G. Ferretti and Z. Yang |
hep-th/9212026 | Geodesic Scattering of Solitonic Strings | We compute the metric on moduli space for the Dabholkar-Harvey string soliton
in $D=4$ to lowest nontrivial order in the string tension. The metric is found
to be flat, which implies trivial scattering of the solitons. This result is
consistent with an earlier test-string calculation of the leading order
dynamical forc... | 1992-12-03 | 2009-10-22 | [
"hep-th"
] | Ramzi R. Khuri |
hep-th/9212024 | Quarks as topological defects or what is confined inside a hadron? | We present a picture of confinement based on representation of quarks as
pointlike topological defects. The topological charge carried by quarks and
confined in hadrons is explicitly constructed in terms of Yang - Mills
variables. In 2+1 dimensions we are able to construct a local complex scalar
field $V(x)$, in terms ... | 1992-12-03 | 2015-06-26 | [
"hep-th"
] | A. Kovner and B. Rosenstein |
hep-th/9212028 | Supersymmetric Topological Quantum Field Theories Of Differential Forms
I. Gauge p-forms | We consider the topological theory of Witten type for gauge differential
p-forms. It is shown that some topological invariants such as linking numbers
appear under quantization of this theory. The non-abelian generalization of the
model is discussed. | 1992-12-03 | 2015-06-26 | [
"hep-th"
] | S.N.Solodukhin |
hep-th/9212029 | Classical Dynamics of Macroscopic Strings | In recent work, Dabholkar {\it et al.} constructed static ``cosmic string"
solutions of the low-energy supergravity equations of the heterotic string, and
conjectured that these solitons are actually exterior solutions for infinitely
long fundamental strings. In this paper we provide compelling dynamical
evidence to su... | 1992-12-03 | 2009-10-22 | [
"hep-th"
] | Ramzi R. Khuri |
hep-th/9212019 | Conformal Models of Two-Dimensional Turbulence | Polyakov recently showed how to use conformal field theory to describe
two-dimensional turbulence. Here we construct an infinite hierarchy of
solutions, both for the constant enstrophy flux cascade, and the constant
energy flux cascade. We conclude with some speculations concerning the
stability and physical meaning of... | 1992-12-03 | 2009-10-22 | [
"hep-th",
"chao-dyn",
"cond-mat",
"nlin.CD"
] | David A. Lowe |
hep-th/9212023 | The Gravitational Sine-Gordon Model | We use matrix model results to investigate the Sine-Gordon model coupled to
two dimensional gravity. For relevant (in the RG sense) potentials, we show
that the $c=1$ string, which appears in the ultraviolet limit of this model,
flows to a set of decoupled $c=0$ (pure gravity) models in the infrared. The
torus partitio... | 1992-12-03 | 2009-10-22 | [
"hep-th"
] | Edward Hsu and David Kutasov |
hep-th/9212022 | Determinants of Laplacians, the Ray-Singer Torsion on Lens Spaces and
the Riemann zeta function | We obtain explicit expressions for the determinants of the Laplacians on zero
and one forms for an infinite class of three dimensional lens spaces $L(p,q)$.
These expressions can be combined to obtain the Ray-Singer torsion of these
lens spaces. As a consequence we obtain an infinite class of formulae for the
Riemann z... | 1992-12-03 | 2009-10-22 | [
"hep-th",
"math.DG"
] | Charles Nash and Denjoe O' Connor |
hep-th/9212025 | Current-Current Singularities under External Gauge Fields | We study the operator product expansion of two non-interacting chiral
currents in the presence of external gauge fields in four dimensional euclidean
space. We obtain the operator singularity in terms of the beta function of the
free energy density and a connection on the space of external gauge fields, by
imposing the... | 1992-12-03 | 2008-02-03 | [
"hep-th"
] | Hidenori Sonoda |
hep-th/9212027 | A Time-Dependent Classical Solution of C=1 String Field Theory and
Non-Perturbative Effects | We describe a real-time classical solution of $c=1$ string field theory
written in terms of the phase space density, $u(p,q,t)$, of the equivalent
fermion theory. The solution corresponds to tunnelling of a single fermion
above the filled fermi sea and leads to amplitudes that go as $\exp(- C/
\gst)$. We discuss how on... | 1992-12-03 | 2015-06-26 | [
"hep-th"
] | Avinash Dhar, Gautam Mandal and Spenta R. Wadia |
hep-th/9212012 | A Self-Consistent Formulation of Quantum Field Theory on $S_{4}$ | Recent developments in quantum gravity suggest that wormholes may influence
the observed values of the constants of nature. The Euclidean formulation of
quantum gravity predicts that wormholes induce a probability distribution in
the space of possible fundamental constants. This distribution may computed by
evaluating ... | 1992-12-02 | 2007-05-23 | [
"hep-th"
] | B.A.Harris and G.C.Joshi |
hep-th/9212015 | Spectra of Conformal Turbulence | A set of different conformal solutions corresponding to a constant flux of
squared vorticity is considered. Requiring constant fluxes of all inviscid
vorticity invariants (higher powers of the vorticity), we come to the
conclusion that the general turbulence spectrum should be given by Kraichnan's
expression $E(k)\prop... | 1992-12-02 | 2007-05-23 | [
"hep-th",
"cond-mat"
] | Gregory Falkovich and Amihay Hanany |
hep-th/9212013 | On the quantum Poincare' group | The inhomogeneous quantum groups $IGL_q(n)$ are obtained by means of a
particular projection of $GL_q(n+1)$. The bicovariant differential calculus on
$GL_q(n)$ is likewise projected into a consistent bicovariant calculus on
$IGL_q(n)$. Applying the same method to $GL_q(n,\Cb)$ leads to a bicovariant
calculus for the co... | 1992-12-02 | 2007-05-23 | [
"hep-th"
] | Leonardo Castellani |
hep-th/9212016 | On the spectrum, no ghost theorem and modular invariance of $W_3$
strings | A spectrum generating algebra is constructed and used to find all the
physical states of the $W_3$ string with standard ghost number. These states
are shown to have positive norm and their partition function is found to
involve the Ising model characters corresponding to the weights 0 and 1/16. The
theory is found to b... | 1992-12-02 | 2015-06-26 | [
"hep-th"
] | Peter West |
hep-th/9212010 | Some Additional Solutions of Conformal Turbulence | We made a careful study of Polyakov's Diofantian equations for 2D turbulence
and found several additional CFTs which meet his criterion. This fact implies
that we need further conditions for CFT in order to determine the exponent of
the energy spectrum function. | 1992-12-02 | 2015-06-26 | [
"hep-th"
] | Y. Matsuo |
hep-th/9212017 | The Low-level Spectrum of the $W_3$ String | We investigate the spectrum of physical states in the $W_3$ string theory, up
to level 2 for a multi-scalar string, and up to level 4 for the two-scalar
string. The (open) $W_3$ string has a photon as its only massless state. By
using screening charges to study the null physical states in the two-scalar
$W_3$ string, w... | 1992-12-02 | 2009-10-07 | [
"hep-th"
] | H. Lu, B.E.W. Nilsson, C.N. Pope, K.S. Stelle and P.C. West |
hep-th/9212014 | Monte Carlo Simulations of 2-Dimensional Quantum Gravity Coupled to $c =
1$ Matter | We present results of a high precision Monte Carlo simulation of dynamically
triangulated random surfaces (up to $\approx$ 34,000 triangles) coupled to one
scalar field ($c=1$). The mean square extent has been measured for different
actions to test the universality of the leading term as a function of the size
of the s... | 1992-12-02 | 2009-10-22 | [
"hep-th",
"hep-lat"
] | T. Filk, M. Marcu and B. Scheffold |
hep-th/9212018 | 12j-symbols and four-dimensional quantum gravity | We propose a model which represents a four-dimensional version of Ponzano and
Regge's three-dimensional euclidean quantum gravity. In particular we show that
the exponential of the euclidean Einstein-Regge action for a $4d$-discretized
block is given, in the semiclassical limit, by a gaussian integral of a
suitable $12... | 1992-12-02 | 2009-10-22 | [
"hep-th"
] | Mauro Carfora, Maurizio Martellini and Annalisa Marzuoli |
hep-th/9212011 | Induced QCD Without Local Confinement | We examine some properties of the filled Wilson loop observables in the
Kazakov-Migdal model of induced QCD. We show that they have a natural
interpretation in a modification of the original model in which the $Z_N$ gauge
symmetry is broken explicitly by a Wilson kinetic term for the gauge fields. We
argue that there a... | 1992-12-02 | 2009-10-22 | [
"hep-th",
"hep-lat"
] | M.I. Dobroliubov, I.I. Kogan, G.W. Semenoff and N. Weiss |
hep-th/9212006 | Topics in String Theory and Quantum Gravity | These are the lecture notes for the Les Houches Summer School on Quantum
Gravity held in July 1992. The notes present some general critical assessment
of other (non-string) approaches to quantum gravity, and a selected set of
topics concerning what we have learned so far about the subject from string
theory. Since thes... | 1992-12-01 | 2007-05-23 | [
"hep-th"
] | L. Alvarez-Gaume and M.A. Vazquez-Mozo |
hep-th/9212007 | Covariance Properties of Reflection Equation Algebras | The reflection equations (RE) are a consistent extension of the Yang-Baxter
equations (YBE) with an addition of one element, the so-called reflection
matrix or $K$-matrix. For example, they describe the conditions for
factorizable scattering on a half line just like the YBE give the conditions
for factorizable scatteri... | 1992-12-01 | 2014-11-18 | [
"hep-th",
"nlin.SI",
"solv-int"
] | P. P. Kulish and R. Sasaki |
hep-th/9212009 | Spontaneous Symmetry Breaking of phi4(1+1) in Light Front Field Theory | We study spontaneous symmetry breaking in phi^4_(1+1) using the light-front
formulation of the field theory. Since the physical vacuum is always the same
as the perturbative vacuum in light-front field theory the fields must develop
a vacuum expectation value through the zero-mode components of the field. We
solve the ... | 1992-12-01 | 2019-08-17 | [
"hep-th"
] | Carl M. Bender, Stephen Pinsky and Brett Van de Sande |
hep-th/9212008 | Extending the Barnes-Rivers Operators to D=3 Topological Gravity | The spin-projector operators for symmetric rank-2 tensors are reassessed in
connection with the issue of topologically massive gravity. The original
proposal by Barnes and Rivers is generalised to account for D-dimensional
Einstein gravity and 3-dimensional Chern-Simons massive gravitation. | 1992-12-01 | 2007-05-23 | [
"hep-th"
] | C. Pinheiro and G. O. Pires |
hep-th/9212004 | Remarks on the continuum formulation of noncritical strings | We discuss various aspects of the calculation of correlation functions in
conformal theories coupled to quantized 2-dimensional gravity. The main
emphasis lies on the construction of a continuation in the number of insertions
of the cosmological constant operator for $arbitrary$ dimension of the target
space. Following... | 1992-12-01 | 2007-05-23 | [
"hep-th"
] | H. Dorn and H.-J. Otto |
hep-th/9212001 | Noncommutative Geometry and The Ising Model | The main aim of this work is to present the interpretation of the Ising type
models as a kind of field theory in the framework of noncommutative geometry.
We present the method and construct sample models of field theory on discrete
spaces using the introduced tools of discrete geometry. We write the action for
few mod... | 1992-12-01 | 2009-10-22 | [
"hep-th"
] | Andrzej Sitarz |
hep-th/9212003 | Simple BRST quantization of general gauge models | It is shown that the BRST charge $Q$ for any gauge model with a Lie algebra
symmetry may be decomposed as $$Q=\del+\del^{\dag}, \del^2=\del^{\dag 2}=0,
[\del, \del^{\dag}]_+=0$$ provided dynamical Lagrange multipliers are used but
without introducing other matter variables in $\del$ than the gauge generators
in $Q$. Fu... | 1992-12-01 | 2016-08-14 | [
"hep-th"
] | Robert Marnelius (G\"oteborg ITP) |
hep-th/9212005 | Linearisation of Universal Field Equations | The Universal Field Equations, recently constructed as examples of higher
dimensional dynamical systems which admit an infinity of inequivalent
Lagrangians are shown to be linearised by a Legendre transformation. This
establishes the conjecture that these equations describe integrable systems.
While this construction i... | 1992-12-01 | 2009-10-22 | [
"hep-th"
] | David B. Fairlie and Jan Govaerts |
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